Translating Classical Probability Logics into Modal Fuzzy Logics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00508606" target="_blank" >RIV/67985556:_____/19:00508606 - isvavai.cz</a>
Alternative codes found
RIV/67985807:_____/19:00508606
Result on the web
<a href="https://download.atlantis-press.com/article/125914819.pdf" target="_blank" >https://download.atlantis-press.com/article/125914819.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/eusflat-19.2019.49" target="_blank" >10.2991/eusflat-19.2019.49</a>

Result language
angličtina
Original language name
Translating Classical Probability Logics into Modal Fuzzy Logics
Original language description
This paper is a contribution to the study of two distinct kinds of modal logics for modeling uncertainty. Both approaches use logics with a two-layered syntax, but while one employs classical logic on both levels, the other involves a suitable system of fuzzy logic in the upper layer. We take two prominent examples of the former approach, probability logics Pr_lin and Pr_pol, and build explicit faithful translations into, respectively, the two-layered modal fuzzy logics given by Lukasiewicz logic with 4 and its expansion with the product connective. We first prove the faithfulness of both translations using semantics of all four involved logics. Then, we use the axiomatization of Pr_lin and a hypersequent presentation of the two-layered system over Lukasiewicz logic to obtain an alternative syntactical proof.
Czech name
—
Czech description
—

Project
<a href="/en/project/GA17-04630S" target="_blank" >GA17-04630S: Predicate graded logics and their applications to computer science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
ISBN
978-94-6252-770-6
ISSN
2589-6644
e-ISSN
—
Number of pages
8
Pages from-to
342-349
Publisher name
Atlantis Press
Place of publication
Amsterdam
Event location
Praha
Event date
Sep 9, 2019
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000558710000049

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